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If the integral from a to b of f(x)dx=a+2b then integral from a to b of (f(x)+3)dx= ?

The answer: 5b-2a

How do I get to that answer??

  • Calculus -

    integral of (f(x) + 3)dx = integral of f(x)dx + integral of 3dx

  • Calculus -

    integral from a to b of (f(x)+3)dx
    = integral from a to b of f(x)dx + 3(b-a)
    = a + 2b +3b -3a
    = 5b - 2a

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